Đốt cháy hoàn toàn 2,24 lít hỗn hợp X (đktc) gồm metan và cacbon oxit thu được hỗn hợp khí và hơi có khối lượng 6,2 gam. Phần trăm thể tích của metan trong hỗn hợp bằng
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
- Gọi mol metan và etan là x, y ( mol )
\(x+y=n_{hh}=\dfrac{V}{22,4}=0,25\left(mol\right)\)
Lại có : \(x+2y=n_{CO_2}=\dfrac{V}{22,4}=0,4\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,15\end{matrix}\right.\) ( mol )
\(\Rightarrow\left\{{}\begin{matrix}m_{CH_4}=1,6\left(g\right)\\m_{C_2H_6}=4,5\left(g\right)\end{matrix}\right.\)
=> mhh = 6,1 ( g )
=> %mCH4 = ~ 26,22%
=> %mC2H6 = ~73,78%
Ta có : \(\%V_{CH4}=\dfrac{V}{Vhh}=40\%\)
=> %VC2H6 = 100 - %VCH4 = 60% .
PT: \(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)
\(2C_2H_6+5O_2\underrightarrow{t^o}4CO_2+6H_2O\)
Giả sử: \(\left\{{}\begin{matrix}n_{CH_4}=x\left(mol\right)\\n_{C_2H_6}=y\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow x+y=\dfrac{5,6}{22,4}=0,25\left(1\right)\)
Ta có: \(n_{CO_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)
Theo PT: \(\Sigma n_{CO_2}=n_{CH_4}+2n_{C_2H_6}\)
\(\Rightarrow x+2y=0,4\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,1\left(mol\right)\\y=0,15\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,1}{0,25}.100\%=40\%\\\%V_{C_2H_6}=60\%\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\%m_{CH_4}=\dfrac{0,1.16}{0,1.16+0,15.30}.100\%\approx26,2\%\\\%m_{C_2H_6}\approx73,8\%\end{matrix}\right.\)
Bạn tham khảo nhé!
![](https://rs.olm.vn/images/avt/0.png?1311)
a, \(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)
\(2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\)
Ta có: \(n_{CH_4}+n_{C_2H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\left(1\right)\)
\(n_{CO_2}=n_{CH_4}+2n_{C_2H_2}=\dfrac{7,84}{22,4}=0,35\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{CH_4}=0,25\left(mol\right)\\n_{C_2H_2}=0,05\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,25.22,4}{6,72}.100\%\approx83,33\%\\\%V_{C_2H_2}\approx16,67\%\end{matrix}\right.\)
Theo PT: \(n_{O_2}=2n_{CH_4}+\dfrac{5}{2}n_{C_2H_2}=0,625\left(mol\right)\Rightarrow m_{O_2}=0,625.32=20\left(g\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
CH4+2O2-to>CO2+2H2O
x-----------------------------2x
C2H2+\(\dfrac{5}{2}\)O2-to>2CO2+H2O
y-----------------------------------y
=>\(\left\{{}\begin{matrix}x+y=\dfrac{3,36}{22,4}\\2x+y=\dfrac{4,5}{18}\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x=0,1\\y=0,05\end{matrix}\right.\)
=>%VCH4=\(\dfrac{0,1.22,4}{3,36}\).100=66,67%
=>%VC2H2=100-66,67%=33,33%
b)
C2H2+2Br2->C2H2Br4
0,05-----0,1 mol
=>m Br2=0,1.160=16g
![](https://rs.olm.vn/images/avt/0.png?1311)
\(n_{hh}=\dfrac{3,36}{22,4}=0,15mol\)
\(n_{CO_2}=\dfrac{4,48}{22,4}=0,2mol\)
\(\left\{{}\begin{matrix}n_{CH_4}=x\left(mol\right)\\n_{C_2H_2}=y\left(mol\right)\end{matrix}\right.\)
\(CH_4+2O_2\rightarrow CO_2+2H_2O\)
\(C_2H_2+\dfrac{5}{2}O_2\rightarrow2CO_2+H_2O\)
Từ hai pt trên:\(\Rightarrow\left\{{}\begin{matrix}x+y=0,15\\x+2y=0,2\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,05\end{matrix}\right.\)
\(\%V_{CH_4}=\dfrac{0,1}{0,1+0,05}\cdot100\%=66,67\%\)
\(\%V_{C_2H_2}=100\%-66,67\%=33,33\%\)
\(n_{CO_2}=\dfrac{V_{CO_2}}{22,4}=\dfrac{4,48}{22,4}=0,2mol\)
Gọi \(n_{CH_4}\) là x \(\Rightarrow V_{CH_4}=22,4x\)
\(n_{C_2H_2}\) là y \(\Rightarrow V_{C_2H_2}=22,4y\)
\(CH_4+2O_2\rightarrow\left(t^o\right)CO_2+2H_2O\)
x x ( mol )
\(2C_2H_2+5O_2\rightarrow\left(t^o\right)4CO_2+2H_2O\)
y 2y ( mol )
Ta có:
\(\left\{{}\begin{matrix}22,4x+22,4y=3,36\\x+2y=0,2\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,05\end{matrix}\right.\)
\(\Rightarrow V_{CH_4}=22,4.0,1=2,24l\)
\(\Rightarrow V_{C_2H_2}=22,4.0,05=1,12l\)
\(\%V_{CH_4}=\dfrac{2,24}{3,36}.100=66,67\%\)
\(\%V_{C_2H_2}=100\%-66,67\%=33,33\%\)
![](https://rs.olm.vn/images/avt/0.png?1311)
CH4 -> CO2
C2H6 -> 2 CO2
Gọi nCH4 = x mol, nC2H6 = y mol
x + y = 0,15 (1)
x + 2y = 0,2 (2)
Nên: x = 0,1 mol, y = 0,05 mol
Vậy: % VCH4 = 66,67 % => %VC2H6 = 33,33 %
![](https://rs.olm.vn/images/avt/0.png?1311)
\(n_{CH_4} = a\ mol ;n_{C_2H_6} = b\ mol\\ \Rightarrow a + b = \dfrac{3,36}{22,4}= 0,15(1)\\ CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ C_2H_6 + \dfrac{7}{2}O_2 \xrightarrow{t^o} 2CO_2 + 3H_2O\\ n_{CO_2} = a + 2b = \dfrac{4,48}{22,4} = 0,2(2)\\ (1)(2) \Rightarrow a = 0,1 ;b = 0,05\\ \Rightarrow \%V_{CH_4} = \dfrac{0,1}{0,15}.100\% = 66,67\%\\ \%V_{C_2H_6} = 100\% - 66,67\% = 33,33\%\)
\(n_{CH_4}=a\left(mol\right),n_{C_2H_6}=b\left(mol\right)\)
\(\Rightarrow a+b=0.15\left(mol\right)\left(1\right)\)
\(n_{CO_2}=\dfrac{4.48}{22.4}=0.2\left(mol\right)\)
\(\Rightarrow a+2b=0.2\left(2\right)\)
\(\left(1\right),\left(2\right):a=0.1,b=0.05\)
\(\%CH_4=\dfrac{0.1}{0.15}\cdot100\%=66.67\%\)
\(\%C_2H_6=33.33\%\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(n_{hh}=\dfrac{11.2}{22.4}=0.5\left(mol\right)\)
\(n_{CH_4}=a\left(mol\right),n_{H_2}=b\left(mol\right)\)
\(\Rightarrow a+b=0.5\left(1\right)\)
\(n_{H_2O}=2a+b=\dfrac{12.6}{18}=0.7\left(mol\right)\left(2\right)\)
\(\left(1\right),\left(2\right):a=0.2,b=0.3\)
\(n_{CO_2}=n_{CH_4}=0.2\left(mol\right)\)
\(V=0.2\cdot22.4=4.48\left(l\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Đáp án A
hhX gồm CH4 và CnH2n
10,8 lít hhX + Br2 thấy có CH4 bay ra.
CH4 + O2 → 0,126 mol CO2
→ nCH4 = 0,126 x 22,4 = 2,8224 lít →
%
V
C
H
4
=
2
,
8224
10
,
8
≈
26
,
13
%
; %VCnH2n ≈ 73,87%
![](https://rs.olm.vn/images/avt/0.png?1311)
a)
\(n_{Br_2}=\dfrac{8}{160}=0,05\left(mol\right)\)
PTHH: C2H4 + Br2 --> C2H4Br2
0,05<-0,05
=> \(n_{CH_4}=\dfrac{3,36}{22,4}-0,05=0,1\left(mol\right)\)
\(\%m_{CH_4}=\dfrac{0,1.16}{0,1.16+0,05.28}.100\%=53,33\%\)
\(\%m_{C_2H_4}=\dfrac{0,05.28}{0,1.16+0,05.28}.100\%=46,67\%\)
b)
PTHH: CH4 + 2O2 --to--> CO2 + 2H2O
0,1-->0,2
C2H4 + 3O2 --to--> 2CO2 + 2H2O
0,05--->0,15
=> \(V_{O_2}=\left(0,2+0,15\right).22,4=7,84\left(l\right)\)
\(n_{CH_4}=a\left(mol\right),n_{CO}=b\left(mol\right)\).
\(a+b=0,1\)
Kết thúc phản ứng thu được \(CO_2\)và \(H_2O\).
\(n_{CO_2}=n_C=a+b\)
\(n_{H_2O}=\frac{1}{2}n_H=\frac{1}{2}.4a=2a\)
Ta có: \(44\left(a+b\right)+18.2a=6,2\)
Giải hệ thu được: \(a=b=0,05\).
\(\%V_{CH_4}=50\%\).